A four-digit number abed


A four-digit number abed is divisible by 11, if d + b =———–or————-.


a + c,12(a + c)

We know that, a number is divisible by 11, if the difference between the sum of digits at odd places and the sum of its digits at even places is

either 0 or a multiple of 11.

Hence, abcd is divisible by 11, if (d + b)- (a + c) = 0,11,22, 33,…

=> d + b = a + c or d + b = 12(a + c)

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